2127585040 has 80 divisors (see below), whose sum is σ = 5950869120. Its totient is φ = 691061760.

The previous prime is 2127585011. The next prime is 2127585107. The reversal of 2127585040 is 405857212.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 2127584987 and 2127585005.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89341 + ... + 110620.

It is an arithmetic number, because the mean of its divisors is an integer number (74385864).

Almost surely, 2^2127585040 is an apocalyptic number.

2127585040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2127585040 is an abundant number, since it is smaller than the sum of its proper divisors (3823284080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2127585040 is a wasteful number, since it uses less digits than its factorization.

2127585040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200000 (or 199994 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 34.

The square root of 2127585040 is about 46125.7524599870. The cubic root of 2127585040 is about 1286.1619068823.

The spelling of 2127585040 in words is "two billion, one hundred twenty-seven million, five hundred eighty-five thousand, forty".